Finding the Fourth Proportional to 10,136.94, 13,991.31 and 5,946.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,136.94 : 13,991.31 = 5,946.54 : x
2. Step 2: Convert to fraction form
   10,136.94/13,991.31 = 5,946.54/x
3. Step 3: Cross multiply
   10,136.94x = 13,991.31 × 5,946.54
4. Step 4: Simplify right side
   10,136.94x = 83,199,884.57
5. Step 5: Solve for x
   x = 83,199,884.57/10,136.94
6. Step 6: Final answer
   x = 8,207.59